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998,140

998,140 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

998,140 (nine hundred ninety-eight thousand one hundred forty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 11 × 13 × 349. Its proper divisors sum to 1,471,460, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3AFC.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
31
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
41,899
Square (n²)
996,283,459,600
Cube (n³)
994,430,372,365,144,000
Divisor count
48
σ(n) — sum of divisors
2,469,600
φ(n) — Euler's totient
334,080
Sum of prime factors
382

Primality

Prime factorization: 2 2 × 5 × 11 × 13 × 349

Nearest primes: 998,117 (−23) · 998,147 (+7)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 10 · 11 · 13 · 20 · 22 · 26 · 44 · 52 · 55 · 65 · 110 · 130 · 143 · 220 · 260 · 286 · 349 · 572 · 698 · 715 · 1396 · 1430 · 1745 · 2860 · 3490 · 3839 · 4537 · 6980 · 7678 · 9074 · 15356 · 18148 · 19195 · 22685 · 38390 · 45370 · 49907 · 76780 · 90740 · 99814 · 199628 · 249535 · 499070 (half) · 998140
Aliquot sum (sum of proper divisors): 1,471,460
Factor pairs (a × b = 998,140)
1 × 998140
2 × 499070
4 × 249535
5 × 199628
10 × 99814
11 × 90740
13 × 76780
20 × 49907
22 × 45370
26 × 38390
44 × 22685
52 × 19195
55 × 18148
65 × 15356
110 × 9074
130 × 7678
143 × 6980
220 × 4537
260 × 3839
286 × 3490
349 × 2860
572 × 1745
698 × 1430
715 × 1396
First multiples
998,140 · 1,996,280 (double) · 2,994,420 · 3,992,560 · 4,990,700 · 5,988,840 · 6,986,980 · 7,985,120 · 8,983,260 · 9,981,400

Sums & aliquot sequence

As consecutive integers: 199,626 + 199,627 + 199,628 + 199,629 + 199,630 124,764 + 124,765 + … + 124,771 90,735 + 90,736 + … + 90,745 76,774 + 76,775 + … + 76,786
Aliquot sequence: 998,140 1,471,460 1,854,940 2,071,220 2,278,384 2,169,000 5,192,640 13,156,320 28,287,600 70,610,832 134,733,168 243,264,712 213,053,288 243,959,512 224,621,888 221,112,298 156,619,862 — unresolved within range

Continued fraction of √n

√998,140 = [999; (14, 2, 1, 2, 38, 1, 4, 7, 2, 1, 2, 1, 1, 3, 5, 28, 1, 3, 3, 55, 5, 10, 1, 5, …)]

Representations

In words
nine hundred ninety-eight thousand one hundred forty
Ordinal
998140th
Binary
11110011101011111100
Octal
3635374
Hexadecimal
0xF3AFC
Base64
Dzr8
One's complement
4,293,969,155 (32-bit)
Scientific notation
9.9814 × 10⁵
As a duration
998,140 s = 11 days, 13 hours, 15 minutes, 40 seconds
In other bases
ternary (3) 1212201012011
quaternary (4) 3303223330
quinary (5) 223420030
senary (6) 33221004
septenary (7) 11325013
nonary (9) 1781164
undecimal (11) 621a10
duodecimal (12) 401764
tridecimal (13) 28c420
tetradecimal (14) 1bda7a
pentadecimal (15) 14ab2a

As an angle

998,140° = 2,772 × 360° + 220°
220° ≈ 3.84 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ϡϟηρμʹ
Chinese
九十九萬八千一百四十
Chinese (financial)
玖拾玖萬捌仟壹佰肆拾
In other modern scripts
Eastern Arabic ٩٩٨١٤٠ Devanagari ९९८१४० Bengali ৯৯৮১৪০ Tamil ௯௯௮௧௪௦ Thai ๙๙๘๑๔๐ Tibetan ༩༩༨༡༤༠ Khmer ៩៩៨១៤០ Lao ໙໙໘໑໔໐ Burmese ၉၉၈၁၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998140, here are decompositions:

  • 23 + 998117 = 998140
  • 29 + 998111 = 998140
  • 71 + 998069 = 998140
  • 113 + 998027 = 998140
  • 131 + 998009 = 998140
  • 149 + 997991 = 998140
  • 167 + 997973 = 998140
  • 179 + 997961 = 998140

Showing the first eight; more decompositions exist.

Hex color
#0F3AFC
RGB(15, 58, 252)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.58.252.

Address
0.15.58.252
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.58.252

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 998,140 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 998140 first appears in π at position 85,863 of the decimal expansion (the 85,863ordinal-suffix:rd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.